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2130312 = 233372399
BaseRepresentation
bin1000001000000110001000
311000020020110
420020012020
51021132222
6113354320
724051552
oct10100610
94006213
102130312
111225598
128689a0
13597852
143d64d2
152c130c
hex208188

2130312 has 32 divisors (see below), whose sum is σ = 5472000. Its totient is φ = 690624.

The previous prime is 2130307. The next prime is 2130341.

It is a happy number.

2130312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

22130312 is an apocalyptic number.

It is an amenable number.

2130312 is an abundant number, since it is smaller than the sum of its proper divisors (3341688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2130312 is a wasteful number, since it uses less digits than its factorization.

2130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130312 is about 1459.5588374574. The cubic root of 2130312 is about 128.6711170424.

It can be divided in two parts, 2130 and 312, that added together give a palindrome (2442).

The spelling of 2130312 in words is "two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 2399 4798 7197 9596 14394 19192 28788 57576 88763 177526 266289 355052 532578 710104 1065156 2130312